Atkin-Lehner |
2+ 3- 5+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126990k |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-12497720850 = -1 · 2 · 311 · 52 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 5 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,315,-5009] |
[a1,a2,a3,a4,a6] |
j |
4733169839/17143650 |
j-invariant |
L |
2.5743651825222 |
L(r)(E,1)/r! |
Ω |
0.64359183184847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42330bb1 |
Quadratic twists by: -3 |